A circular table top has a diameter of 1.6 m. A rectangular tablecloth 2 m by 2 m is placed over the table top. What area of the tablecloth overlaps the table?

bobbie71G

bobbie71G

Answered question

2021-02-12

A circular table top has a diameter of 1.6 m. A rectangular tablecloth 2 m by 2 m is placed over the table top. What area of the tablecloth overlaps the table?

Answer & Explanation

Khribechy

Khribechy

Skilled2021-02-13Added 100 answers

The area of the tablecloth that overlaps the table is the area of the rectangular tablecloth minus the area of the circular table:
A=Arectangle−Acircle
A=lwπr2
Substitute l=2 m and w=2 m for the tablecloth and r=1.62=0.8 m for the radius of the circular table:
A=(2)(2)π(0.8)2
A=40.64π2m2
Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-12Added 2605 answers

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